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Question

# Match the following using divisibility rule.

A
by 6, 12 not by 15
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B
by 6 not by 12, 15
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C
by 6, 12, 15
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D
by none of 6, 12, 15
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Solution

## We know: A number divisible by both 2 and 3 is also divisible by 6. A number divisible by both 3 and 4 is also divisible by 12. A number divisible by both 3 and 5 is also divisible by 15. 468 is divisible by 2, 3, 4 but not by 5 so it is divisible by 6, 12 but not by 15. 921 is divisible by 3 but not by 2, 4, 5 so it is not divisible by 6, 12, 15. 2,160 is divisible by 2, 3, 4, 5 so it is divisible by 6, 12, 15. 1,146 is divisible by 2, 3 but not by 4, 5 so it is divisible by 6 but not by 12, 15.

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